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1361322050140 = 22513229101137507
BaseRepresentation
bin10011110011110101000…
…111100000001001011100
311211010210212121100211101
4103303311013200021130
5134300441421101030
62521214400002444
7200231554334563
oct23636507401134
94733725540741
101361322050140
11485373898078
1219ba00000424
139b4ab70cc00
1449c6185cbda
15256277717ca
hex13cf51e025c

1361322050140 has 144 divisors (see below), whose sum is σ = 3234072653280. Its totient is φ = 480500966400.

The previous prime is 1361322050131. The next prime is 1361322050149. The reversal of 1361322050140 is 410502231631.

It is an interprime number because it is at equal distance from previous prime (1361322050131) and next prime (1361322050149).

It is a junction number, because it is equal to n+sod(n) for n = 1361322050099 and 1361322050108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361322050149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9831267 + ... + 9968773.

It is an arithmetic number, because the mean of its divisors is an integer number (22458837870).

Almost surely, 21361322050140 is an apocalyptic number.

1361322050140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361322050140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617036326640).

1361322050140 is an abundant number, since it is smaller than the sum of its proper divisors (1872750603140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1361322050140 is a wasteful number, since it uses less digits than its factorization.

1361322050140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137672 (or 137657 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1361322050140 its reverse (410502231631), we get a palindrome (1771824281771).

The spelling of 1361322050140 in words is "one trillion, three hundred sixty-one billion, three hundred twenty-two million, fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 101 116 130 145 169 202 260 290 338 377 404 505 580 676 754 845 1010 1313 1508 1690 1885 2020 2626 2929 3380 3770 4901 5252 5858 6565 7540 9802 11716 13130 14645 17069 19604 24505 26260 29290 34138 38077 49010 58580 68276 76154 85345 98020 137507 152308 170690 190385 275014 341380 380770 495001 550028 687535 761540 990002 1375070 1787591 1980004 2475005 2750140 3575182 3987703 4950010 7150364 7975406 8937955 9900020 13888207 15950812 17875910 19938515 23238683 27776414 35751820 39877030 46477366 51840139 55552828 69441035 79754060 92954732 103680278 116193415 138882070 180546691 207360556 232386830 259200695 277764140 361093382 402758003 464773660 518401390 673921807 722186764 805516006 902733455 1036802780 1347843614 1611032012 1805466910 2013790015 2347106983 2695687228 3369609035 3610933820 4027580030 4694213966 5235854039 6739218070 8055160060 9388427932 10471708078 11735534915 13478436140 20943416156 23471069830 26179270195 46942139660 52358540390 68066102507 104717080780 136132205014 272264410028 340330512535 680661025070 1361322050140